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Finding the Fourth Proportional to 315,565.80, 435,491.40 and 177,768.46

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Solution

The fourth proportional to 315,565.80, 435,491.40 and 177,768.46 is: 245,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,565.80 : 435,491.40 = 177,768.46 : x
  2. Step 2: Convert to fraction form
    315,565.80/435,491.40 = 177,768.46/x
  3. Step 3: Cross multiply
    315,565.80x = 435,491.40 × 177,768.46
  4. Step 4: Simplify right side
    315,565.80x = 77,416,635,521.24
  5. Step 5: Solve for x
    x = 77,416,635,521.24/315,565.80
  6. Step 6: Final answer
    x = 245,326.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.